橡卒論.PDF
|
|
|
- えりか あいきょう
- 5 years ago
- Views:
Transcription
1 1329
2 Booth Robertson Booth Wallace tree Booth
3 1 DSPDigital Signal Processor DSP 1
4 k 2k 2.1 Y k 2k 0 X 1 k k X k 2k k X 0 1 2k
5 Y LSB 2 3 Y 3 k
6 X 0 LSB X X X X k k k 2k 0 k 2k 4
7
8 k LSB Y 0 Y
9
10 Ripple Carry Adder n LSB n T c 1 T a T a = nt c 2.8 X3 Y3 X2 Y2 X1 Y1 X0 Y0 C-1 FA FA FA FA C3 C2 C1 C0 S3 S2 S1 S
11 2.8 Carry Look-ahead Adder XY 1 C i-1 C i XY 1 C i-1 C i Ci = Gi + Pi Ci - 1 G i = X i Y i P i = X i Å Y i G i P i C S C i C = G + P C C = G + P C = G + G P+ P P C C = G + G P + G P P + P P P C C = C + C P+ G P P+ G P P P+ P P P P C C = G + G P + G P P + + G P P P + P P P C n n n-1 n n-2 n-1 n n
12 2.9 4 Y 3 X 3 Y 2 X 2 Y 1 X 1 Y 0 X 0 C -1 G 3 P 3 G 2 P 2 G1 P 1 G 0 P 0 C 3 C 2 C 1 C CLA 4 1 CLA CLA 32 CLA 2 10
13 Carry Save Adder CSA n
14 D n i+ 1 i 1 n 1 SI n Q n-1: D n-1:0 2-to-1 L 0 n Q 0 12
15 Booth n n/2 Y 2 X 2 n n-1 n/2-1 i 2i å i å 2i+ 1 2i (2.1) i= 0 i= 0 XY = Xy 2 = X(2y + y )2 2y 2i+1 +y 2i X k 0 2 k -1 13
16 2 k Booth 2 X Booth 2 Y S V n-2 n-1 n-1 å i i i= 0 Y=- Y + Y =- y 2 + y2 n-2 n-2 n-1 i i n-1 å i å i i= 0 i= 0 =- y y2 - y2 n-1 n-2 i å i å i= 0 i= 0 =- y2 + 2 y2 i i n-1 n-1 n-1 i i i åy2 i åyi-12 å( yi y i-1)2 i= 0 i= 0 i= 0 =- + = - + (2.2) y º (2.2) 0 1 Y (2.2)2 n-1 å Y = (- y + y )2 i= 0 n/21 - å i= 0 n/21 - i= 0 i i-1 i = (2(- y + y ) +- ( y + y ))2 å 2i+ 1 2i 2i 2i-1 = (- 2y + y + y )2 2i+ 1 2i 2i-1 2i 2i (2.3) Y y = X 1 n/ Booth 14
17 2.12 Booth y i+2 y i+1 y i X X X X X X Booth k mx - 2 k-1 m 2 k-1 k (k+ 1) y8 y7 y6 y5 y4 y3 y2 y1 y (X) ) (Y) Booth 15
18 X Y P 3 P X Y Y P Y 3.1.1Robertson 3.1 Robertson 16
19 3.1 Robertson X MR Y MQ ACC 0 P ACC MQ MSB 2 Y MQ Y 1 ACC MR X ACC MR 2 Y ACC MQ P Y X > 0Y > 0 X Y -i i 0 X < 0Y > 0 X Y -i i 1 2 a X > 0Y < 0 X< 0Y < 0 2 X b a b ) )
20 3.1.2Booth 2 Booth Booth 3.2 Booth X MR Y MQ E ACCMQ E ACC E 0 Booth Q = 0E = 0 Q = 0E = 1 X ACC Q = 1E = 0 X ACC Q = 1E = 1 18
21 ACC P m n n 2 Y 0 0 Y X Y 4 P
22
23 3.2.2Wallace tree Wallace tree CSA CSA tree CSA CSA 3 2 log 3/2 n Y Wallace tree 16 log Wallace tree XY 7 XY 1 CSA 6 XY 5 XY 4 XY 2 3 CSA XY 2 XY1 3 CSA XY CSA CSA S C 21
24 3.6Wallace-tree 8 8 Wallace tree 3.6 CSA 1 2 CSA S CCSA S CSA XY 0 XY 1 CSA C CSA CSA m 1 (2/3)m 2 (2/3) 2 m 2 (2/m)m L 2/m = (2/3)L L = (log2m-1)/(log23-1) = 1.71(log2m- 1) 2 O(log m) 22
25 8 Y Y partial sum carry CSA sum/carry Wallace tree tree CSA Wallace tree 11 partial sum/carry 1 Wallace tree 6 1 Wallace tree Y k k Y X Wallace tree CSA 3.7 k CSA 6 Wallace tree 1 12 sum/carry Y m 1/m 2m X m CSA Wallace tree Wallace tree m 23
26 3.7 Wallace tree 24
27 3.3 1 n n n X Y 4 8 P D 3.4 AND
28 D 1 X 4 X7X4 2 X 4 X3X0 1 Y Y3Y0 P 4 P3P0 P 8 P11P4 L7L0 P11P8 L7L4 P7 1 L3 1 P6P4 L2L0 2 P 8 P11P4 X 4 X7X4 2 X 4 X3X0 1 Y Y7Y3 P 12 P11P0 26
29 k 4 é êk/2ù ú 8 é êk/3ù ú Y r P = (P + XY r)r P = 0 P = P (j+ 1) (j) k -1 (0) (k) j add shift right P = rp XY P = 0 P = P (j+ 1) (j) (0) (k) k-- j 1 shift left add r -1 r 2 XY j 4 X(Y i+1 Y i )
30 X Y X(Y Y) X(Y Y) P X 0X 1X 2X3X 0X1X2X 2X X 3X 3X = 2X + X 4 3X 2-way way X X 3X -X
31 [0, 4] X5X7X 3X X 6X 7X -3X -2X-X 1 X X Y (0) P X(Y Y) (1) 4P (1) P X(Y Y) (2) 4P (2) P X X 4X-X 29
32 Booth 2 Booth Booth X 2X Z i+1 Y i+1 Y i Z i Y i Y i-1 4 Z i/2 = (Z i+1 Z i ) 2 i Y i+1 Y i Y i Booth Y Y Z i i-1 i Booth Y Y Y Z Z Z' i+ 1 i i- 1 i+ 1 i i/
33 2 Booth 4 4 [0, 3] [-2, 2] 3.2 ( ) 4 = ( ) 2 = ( ) k 2 4 MSB 1 ê ëk/2ú+ û 1 = é(k+ 1)/2ù ê ú Y- 1 = Yk = Yk+ 1= ( ) 2 s-compl = ( ) 4 2 k 2 Booth 4 é êk/2ù ú k Yk = Yk - 1 Y -1 = 0 4 Booth [-2, 2] 4 Booth 3 Booth
34 X Y Z' 1 2 (0) P XZ' (1) 4P (1) P XZ' (2) 4P (2) P Booth Y = (1010) Z = (-1-2) 4 2 XZ 0 = -2X XZ 1 = -X P (1) P (1) Booth 32
35 3.14Booth 4 X nonzero 1 nonzero 1 nonzero 1 3 Y i+1, Y i, Y i-1 3 neg 0 1 non0 1 0 two 0 non0 1 1 non Booth Booth Wallace tree 33
36 4 34
37 35
38 Neil H. E. Weste, Kamran Eshraghian : PRINCIPLES OF CMOS VLSI DESIGN, ADDISON WESLEY (1992) Behrooz Parhami : Computer Arithmetic, Oxford University Press (1999) John L. Hennessy David A. Patterson 2 BP
…_…C…L…fi…J…o†[fiü“ePDF/−mflF™ƒ
80 80 80 3 3 5 8 10 12 14 14 17 22 24 27 33 35 35 37 38 41 43 46 47 50 50 52 54 56 56 59 62 65 67 71 74 74 76 80 83 83 84 87 91 91 92 95 96 98 98 101 104 107 107 109 110 111 111 113 115
1 P2 P P3P4 P5P8 P9P10 P11 P12
1 P2 P14 2 3 4 5 1 P3P4 P5P8 P9P10 P11 P12 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 & 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1! 3 2 3! 4 4 3 5 6 I 7 8 P7 P7I P5 9 P5! 10 4!! 11 5 03-5220-8520
untitled
20 7 1 22 7 1 1 2 3 7 8 9 10 11 13 14 15 17 18 19 21 22 - 1 - - 2 - - 3 - - 4 - 50 200 50 200-5 - 50 200 50 200 50 200 - 6 - - 7 - () - 8 - (XY) - 9 - 112-10 - - 11 - - 12 - - 13 - - 14 - - 15 - - 16 -
untitled
19 1 19 19 3 8 1 19 1 61 2 479 1965 64 1237 148 1272 58 183 X 1 X 2 12 2 15 A B 5 18 B 29 X 1 12 10 31 A 1 58 Y B 14 1 25 3 31 1 5 5 15 Y B 1 232 Y B 1 4235 14 11 8 5350 2409 X 1 15 10 10 B Y Y 2 X 1 X
yy yy ;; ;; ;; ;; ;; ;; ;; ;; ;; ;; ;; ;; ;; ;; ;;; ;;; ;;; ;;; ;;; ;;; ;;; ;;; ;;; ;;; ;;; ;;; ; ; ; ;; ;; ;; ;;; ;;; ;;; ;; ;; ;; ;; ;; ; ; ; ; ; ; ;
31 33
17 3 31 33 36 38 42 45 47 50 52 54 57 60 74 80 82 88 89 92 98 101 104 106 94 1 252 37 1 2 2 1 252 38 1 15 3 16 6 24 17 2 10 252 29 15 21 20 15 4 15 467,555 14 11 25 15 1 6 15 5 ( ) 41 2 634 640 1 5 252
? FPGA FPGA FPGA : : : ? ( ) (FFT) ( ) (Localization) ? : 0. 1 2 3 0. 4 5 6 7 3 8 6 1 5 4 9 2 0. 0 5 6 0 8 8 ( ) ? : LU Ax = b LU : Ax = 211 410 221 x 1 x 2 x 3 = 1 0 0 21 1 2 1 0 0 1 2 x = LUx = b 1 31
a x x x x 1 x 2 Ý; x. x = x 1 + x 2 + Ý + x = 10 1; 1; 3; 3; 4; 5; 8; 8; 8; 9 1 + 1 + 3 + 3 + 4 + 5 + 8 + 8 + 8 + 9 10 = 50 10 = 5 . 1 1 Ý Ý # 2 2 Ý Ý & 7 7; 9; 15; 21; 33; 44; 56 21 8 7; 9; 15; 20; 22;
SPP-C750
3-867-685-5 (1) 1 SPP-C75 2 32 46 64 85 88 14 111 12 127 SPP-C75 1 Sony Corporation 2 v v v 1 2 3 1 2 v 11 11... 4... 7 11... 1 1:... 12 2:... 15... 2... 22... 23... 24... 27... 2... 32... 35... 4... 43...
RSA FA FA AND Booth FA FA RSA 3 4 5
RSA High-Speed Multiplication for RSA ode using Redundant Binary System 6585 6 6 RSA FA FA AND Booth FA FA RSA 3 4 5 This paper summarizes High-Speed Multiplication for RSA ode using Redundant Binary System,
(1) 3 A B E e AE = e AB OE = OA + e AB = (1 35 e ) e OE z 1 1 e E xy e = 0 e = 5 OE = ( 2 0 0) E ( 2 0 0) (2) 3 E P Q k EQ = k EP E y 0
(1) 3 A B E e AE = e AB OE = OA + e AB = (1 35 e 0 1 15 ) e OE z 1 1 e E xy 5 1 1 5 e = 0 e = 5 OE = ( 2 0 0) E ( 2 0 0) (2) 3 E P Q k EQ = k EP E y 0 Q y P y k 2 M N M( 1 0 0) N(1 0 0) 4 P Q M N C EP
IT-C200
3-45-53-11 (1) 8 15 1 32 45 57 6 74 81 (α-alpha5lite) IT-C2 2 Sony Corporation v 11, 1 2 3 2 18... 4... 6... 6 814... 8 1:... 2:... 12 3:... 13... 15... 16... 17... 18... 1... 21... 26... 2... 3... 31...
w NEWS NEWS Y
No.472 FEB. 200315 w NEWS NEWS Y e r Y E t 1 1 y u i B 1 1 Y c fa g f o p mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr mr A 1 !0 1 1
【知事入れ版】270804_鳥取県人口ビジョン素案
7 6 5 4 3 2 1 65 1564 14 192 193 194 195 196 197 198 199 2 21 22 23 24 1.65 1,4 1.6 1,2 1.55 1, 1.45 6 1.5 8 1.4 4 1.35 1.3 2 27 28 29 21 211 212 213 214 6 5 4 3 2 1 213 218 223 228 233 238 243 248 253
2.
2. 10 2. 2. 1995/12006/111995/42006/12 2. 10 1995120061119954200612 02505 025 05 025 02505 0303 02505 250100 250 200 100200 5010050 100200 100 100 50100 100200 50100 10 75100100 0250512 02505 1 025051205
301-A2.pdf
301 21 1 (1),, (3), (4) 2 (1),, (3), (4), (5), (6), 3,?,?,??,?? 4 (1)!?, , 6 5 2 5 6 1205 22 1 (1) 60 (3) (4) (5) 2 (1) (3) (4) 3 (1) (3) (4) (5) (6) 4 (1) 5 (1) 6 331 331 7 A B A B A B A 23 1 2 (1) (3)
No. 1261 2003. 4. 9 14 14 14 14 15 30 21 19 150 35 464 37 38 40 20 970 90 80 90 181130 a 151731 48 11 151731 42 44 47 63 12 a 151731 47 10 11 16 2001 11000 11 2002 10 151731 46 5810 2795195261998 151731
r
73 29 2008 200 4 416 2008 20 042 0932 10 1977 200 1 2 3 4 5 7 8 9 11 12 14 15 16 17 18 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 200r 11 1 1 1 1 700200 200
1 z q w e r t y x c q w 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 R R 32 33 34 35 36 MR MR MR MR MR MR MR MR MR MR MR MR MR MR MR MR MR MR MR MR MR MR MR MR MR
A B A E
10533-68-3955 10533-68-3955 10533-68-3804 RP A-6 10533-68-3804 10533-69-9615 10533-57-2161 B-2 10533-68-2274 10533-68-2221 10533-67-6282 A-6 10533-57-2161 E-3 10533-68-5161 10533-68-3553 D-2 D-2 10533-69-5258
1 2
1 2 4 3 5 6 8 7 9 10 12 11 0120-889-376 r 14 13 16 15 0120-0889-24 17 18 19 0120-8740-16 20 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58
3 5 6 7 7 8 9 5 7 9 4 5 6 6 7 8 8 8 9 9 3 3 3 3 8 46 4 49 57 43 65 6 7 7 948 97 974 98 99 993 996 998 999 999 4 749 7 77 44 77 55 3 36 5 5 4 48 7 a s d f g h a s d f g h a s d f g h a s d f g h j 83 83
PowerPoint プレゼンテーション
0 1 2 3 4 5 6 1964 1978 7 0.0015+0.013 8 1 π 2 2 2 1 2 2 ( r 1 + r3 ) + π ( r2 + r3 ) 2 = +1,2100 9 10 11 1.9m 3 0.64m 3 12 13 14 15 16 17 () 0.095% 0.019% 1.29% (0.348%) 0.024% 0.0048% 0.32% (0.0864%)
SPP-C333/C333PG
3-222-213-04 (1) 10 19 30 40 50 56 58 72 79 (77) 86 94 SPP-C333/C333 PG 2000 Sony Corporation 2 v v v 1 2 3 1 2 v 11 110... 4... 7... 8 1018... 10 1:... 12 2:... 15 3:... 16 4:... 17... 19... 21... 22...
SPP-E777/E777PG
3-222-217-03 (1) SPP-E777/E777PG 10 20 α-e 33 54 66 81 89 91 112 119 77 128 136 SPP-E777/E777 PG 2000 Sony Corporation 2 v v v 1 2 3 1 2 v 11 110... 4... 7... 8 1019... 10 1:... 12 2:... 15 3:... 16 4:...
ソフトウェア基礎技術研修
算術論理演算ユニットの設計 ( 教科書 4.5 節 ) yi = fi (x, x2, x3,..., xm) (for i n) 基本的な組合せ論理回路 : インバータ,AND ゲート,OR ゲート, y n 組合せ論理回路 ( 復習 ) 組合せ論理回路 : 出力値が入力値のみの関数となっている論理回路. 論理関数 f: {, } m {, } n を実現.( フィードバック ループや記憶回路を含まない
日経テレコン料金表（2016年4月）
1 2 3 4 8,000 15,000 22,000 29,000 5 6 7 8 36,000 42,000 48,000 54,000 9 10 20 30 60,000 66,000 126,000 166,000 50 100 246,000 396,000 1 25 8,000 7,000 620 2150 6,000 4,000 51100 101200 3,000 1,000 201
73 p.1 22 16 2004p.152
1987 p.80 72 73 p.1 22 16 2004p.152 281895 1930 1931 12 28 1930 10 27 12 134 74 75 10 27 47.6 1910 1925 10 10 76 10 11 12 139 p.287 p.10 11 pp.3-4 1917 p.284 77 78 10 13 10 p.6 1936 79 15 15 30 80 pp.499-501
122011pp.139174 18501933
122011pp.139174 18501933 122011 1850 3 187912 3 1850 8 1933 84 4 1871 12 1879 5 2 1 9 15 1 1 5 3 3 3 6 19 9 9 6 28 7 7 4 1140 9 4 3 5750 58 4 3 1 57 2 122011 3 4 134,500,000 4,020,000 11,600,000 5 2 678.00m
2 2 3 4 5 5 2 7 3 4 6 1 3 4 7 4 2 2 2 4 2 3 3 4 5 1932 A p. 40. 1893 A p. 224, p. 226. 1893 B pp. 1 2. p. 3.
1 73 72 1 1844 11 9 1844 12 18 5 1916 1 11 72 1 73 2 1862 3 1870 2 1862 6 1873 1 3 4 3 4 7 2 3 4 5 3 5 4 2007 p. 117. 2 2 3 4 5 5 2 7 3 4 6 1 3 4 7 4 2 2 2 4 2 3 3 4 5 1932 A p. 40. 1893 A p. 224, p. 226.
29 2011 3 4 1 19 5 2 21 6 21 2 21 7 2 23 21 8 21 1 20 21 1 22 20 p.61 21 1 21 21 1 23
29 2011 3 pp.55 86 19 1886 2 13 1 1 21 1888 1 13 2 3,500 3 5 5 50 4 1959 6 p.241 21 1 13 2 p.14 1988 p.2 21 1 15 29 2011 3 4 1 19 5 2 21 6 21 2 21 7 2 23 21 8 21 1 20 21 1 22 20 p.61 21 1 21 21 1 23 1
Microsoft Word - 映画『東京裁判』を観て.doc
1 2 3 4 5 6 7 1 2008. 2 2010, 3 2010. p.1 4 2008 p.202 5 2008. p.228 6 2011. 7 / 2008. pp.3-4 1 8 1 9 10 11 8 2008, p.7 9 2011. p.41 10.51 11 2009. p. 2 12 13 14 12 2008. p.4 13 2008, p.7-8 14 2008. p.126
() L () 20 1
() 25 1 10 1 0 0 0 1 2 3 4 5 6 2 3 4 9308510 4432193 L () 20 1 PP 200,000 P13P14 3 0123456 12345 1234561 2 4 5 6 25 1 10 7 1 8 10 / L 10 9 10 11 () ( ) TEL 23 12 7 38 13 14 15 16 17 18 L 19 20 1000123456
308 ( ) p.121
307 1944 1 1920 1995 2 3 4 5 308 ( ) p.121 309 10 12 310 6 7 ( ) ( ) ( ) 50 311 p.120 p.142 ( ) ( ) p.117 p.124 p.118 312 8 p.125 313 p.121 p.122 p.126 p.128 p.156 p.119 p.122 314 p.153 9 315 p.142 p.153
戦後の補欠選挙
1 2 11 3 4, 1968, p.429., pp.140-141. 76 2005.12 20 14 5 2110 25 6 22 7 25 8 4919 9 22 10 11 12 13 58154 14 15 1447 79 2042 21 79 2243 25100 113 2211 71 113 113 29 p.85 2005.12 77 16 29 12 10 10 17 18
17CR n n n n n n n n n n n n n n n n n m PGM PGM o x å 1 9 0^. - ƒ E % M d w i k g «æ n u n u - p ç e l n n n E C 00-00-00 09-08-20 00-00 09-30 n n n n n n n m l n n n n 09-23#0008.5,780.360.360.360
IT-C250
3-45-54-3 (1) 8 15 1 32 45 57 6 74 81 IT-C25 2 Sony Corporation v 11, 1 2 3 2 18... 4... 6... 6 814... 8 1:... 2:... 12 3:... 13... 15... 16... 17... 18... 1... 21... 26... 2... 3... 31... 32... 34...
1: *2 W, L 2 1 (WWL) 4 5 (WWL) W (WWL) L W (WWL) L L 1 2, 1 4, , 1 4 (cf. [4]) 2: 2 3 * , , = , 1
![1: *2 W, L 2 1 (WWL) 4 5 (WWL) W (WWL) L W (WWL) L L 1 2, 1 4, , 1 4 (cf. [4]) 2: 2 3 * , , = , 1](/thumbs/49/25412084.jpg "1: *2 W, L 2 1 (WWL) 4 5 (WWL) W (WWL) L W (WWL) L L 1 2, 1 4, , 1 4 (cf. [4]) 2: 2 3 * , , = , 1")
I, A 25 8 24 1 1.1 ( 3 ) 3 9 10 3 9 : (1,2,6), (1,3,5), (1,4,4), (2,2,5), (2,3,4), (3,3,3) 10 : (1,3,6), (1,4,5), (2,2,6), (2,3,5), (2,4,4), (3,3,4) 6 3 9 10 3 9 : 6 3 + 3 2 + 1 = 25 25 10 : 6 3 + 3 3
x, y x 3 y xy 3 x 2 y + xy 2 x 3 + y 3 = x 3 y xy 3 x 2 y + xy 2 x 3 + y 3 = 15 xy (x y) (x + y) xy (x y) (x y) ( x 2 + xy + y 2) = 15 (x y)
x, y x 3 y xy 3 x 2 y + xy 2 x 3 + y 3 = 15 1 1977 x 3 y xy 3 x 2 y + xy 2 x 3 + y 3 = 15 xy (x y) (x + y) xy (x y) (x y) ( x 2 + xy + y 2) = 15 (x y) ( x 2 y + xy 2 x 2 2xy y 2) = 15 (x y) (x + y) (xy
p q p q p q p q p q p q p q p q p q x y p q t u r s p q p p q p q p q p p p q q p p p q P Q [] p, q P Q [] P Q P Q [ p q] P Q Q P [ q p] p q imply / m
![p q p q p q p q p q p q p q p q p q x y p q t u r s p q p p q p q p q p p p q q p p p q P Q [] p, q P Q [] P Q P Q [ p q] P Q Q P [ q p] p q imply / m](/thumbs/86/94163521.jpg "p q p q p q p q p q p q p q p q p q x y p q t u r s p q p p q p q p q p p p q q p p p q P Q [] p, q P Q [] P Q P Q [ p q] P Q Q P [ q p] p q imply / m")
P P N p() N : p() N : p() N 3,4,5, L N : N : N p() N : p() N : p() N p() N p() p( ) N : p() k N : p(k) p( k ) k p(k) k k p( k ) k k k 5 k 5 N : p() p() p( ) p q p q p q p q p q p q p q p q p q x y p q
ê ê ê 2007 ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê b b b b b b b b b b b ê ê ê b b b b ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê ê b
取扱説明書
c TE-2000 TE-2000-5S TE-2000-10M OP 168 PGM OP PGM L J # - p P F f ø m x r t Å v u y 19 0^. R!º d E s i c k 1234%678 1234%678 y r 100V 31 1 2 ) 3 ) 1 2 3 4 5 6 7 5 1 6 2 7 3 8 J J 4 9 ) ) ) ) ) ) )
.3. (x, x = (, u = = 4 (, x x = 4 x, x 0 x = 0 x = 4 x.4. ( z + z = 8 z, z 0 (z, z = (0, 8, (,, (8, 0 3 (0, 8, (,, (8, 0 z = z 4 z (g f(x = g(
06 5.. ( y = x x y 5 y 5 = (x y = x + ( y = x + y = x y.. ( Y = C + I = 50 + 0.5Y + 50 r r = 00 0.5Y ( L = M Y r = 00 r = 0.5Y 50 (3 00 0.5Y = 0.5Y 50 Y = 50, r = 5 .3. (x, x = (, u = = 4 (, x x = 4 x,
() n C + n C + n C + + n C n n (3) n C + n C + n C 4 + n C + n C 3 + n C 5 + (5) (6 ) n C + nc + 3 nc n nc n (7 ) n C + nc + 3 nc n nc n (
3 n nc k+ k + 3 () n C r n C n r nc r C r + C r ( r n ) () n C + n C + n C + + n C n n (3) n C + n C + n C 4 + n C + n C 3 + n C 5 + (4) n C n n C + n C + n C + + n C n (5) k k n C k n C k (6) n C + nc
ac b 0 r = r a 0 b 0 y 0 cy 0 ac b 0 f(, y) = a + by + cy ac b = 0 1 ac b = 0 z = f(, y) f(, y) 1 a, b, c 0 a 0 f(, y) = a ( ( + b ) ) a y ac b + a y
01 4 17 1.. y f(, y) = a + by + cy + p + qy + r a, b, c 0 y b b 1 z = f(, y) z = a + by + cy z = p + qy + r (, y) z = p + qy + r 1 y = + + 1 y = y = + 1 6 + + 1 ( = + 1 ) + 7 4 16 y y y + = O O O y = y
1W II K =25 A (1) office(a439) (2) A4 etc. 12:00-13:30 Cafe David 1 2 TA appointment Cafe D
1W II K200 : October 6, 2004 Version : 1.2, kawahira@math.nagoa-u.ac.jp, http://www.math.nagoa-u.ac.jp/~kawahira/courses.htm TA M1, m0418c@math.nagoa-u.ac.jp TA Talor Jacobian 4 45 25 30 20 K2-1W04-00
III No (i) (ii) (iii) (iv) (v) (vi) x 2 3xy + 2 lim. (x,y) (1,0) x 2 + y 2 lim (x,y) (0,0) lim (x,y) (0,0) lim (x,y) (0,0) 5x 2 y x 2 + y 2. xy x2 + y
III No (i) (ii) (iii) (iv) (v) (vi) x 2 3xy + 2. (x,y) (1,0) x 2 + y 2 5x 2 y x 2 + y 2. xy x2 + y 2. 2x + y 3 x 2 + y 2 + 5. sin(x 2 + y 2 ). x 2 + y 2 sin(x 2 y + xy 2 ). xy (i) (ii) (iii) 2xy x 2 +
1 2 http://www.japan-shop.jp/ 3 4 http://www.japan-shop.jp/ 5 6 http://www.japan-shop.jp/ 7 2,930mm 2,700 mm 2,950mm 2,930mm 2,950mm 2,700mm 2,930mm 2,950mm 2,700mm 8 http://www.japan-shop.jp/ 9 10 http://www.japan-shop.jp/
